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Finding the Third Proportional to 118,074,291.75 and 243,693,906.75

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Solution

The third proportional to 118,074,291.75 and 243,693,906.75 is: 502,960,630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,074,291.75 : 243,693,906.75 = 243,693,906.75 : x
  2. Step 2: Convert to fraction form
    118,074,291.75/243,693,906.75 = 243,693,906.75/x
  3. Step 3: Cross multiply
    118,074,291.75x = 243,693,906.75 × 243,693,906.75
  4. Step 4: Simplify right side
    118,074,291.75x = 59,386,720,187,077,696
  5. Step 5: Solve for x
    x = 59,386,720,187,077,696/118,074,291.75
  6. Step 6: Final answer
    x = 502,960,630.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.